(a)

Write a continuous exponential equation.

If an initial quantity grove or decays at an exponential rate or , then the final amount after a time is given by the following formula .

First year number of computer store are .

After years number of computer stores are .

Time period is .

Here time period is .

Substitute , and in .

Apply logarithm on each side.

Power property of logarithm : .

Apply property of logarithm : .

.

Continuous exponential equation is .

(b)

Find number of stores after year.

Find time period .

Substitute in .

Number of stores after year is .

(a) Continuous exponential equation is .

(b) Number of stores after year is .